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Conference "Zeta Functions"November 19 - 23, 2012Moscow, Russia |
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оригинального документа
: http://www.mccme.ru/poncelet/2012zeta/talks/budylin.html
Дата изменения: Thu Jan 31 02:58:38 2013 Дата индексирования: Mon Feb 4 16:41:31 2013 Кодировка: |
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Conference "Zeta Functions"November 19 - 23, 2012Moscow, Russia |
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Organisers: Marc Hindry (Institut de Mathématiques de Jussieu) Philippe Lebacque (Laboratoire de Mathématiques de Besançon), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)
Tuesday November 20, 18:00-19:00
Video: [mp4]
Bloch proves that the second Chern class of a vector bundle with trivial determinant can be obtained by boundary homomorphism for the universal central extension of the sheaf SL(O_X). In the talk this construcion wil be used to get an adelic formula for the second Chern class in terms of trivializations in scheme points. I also introduce some extension of St(A) for any ring A by diagonal matrices which allows to generalize Bloch formula to vector bundles with general determinant. We will also discuss a generalization of Bloch formula for C_n of vector bundles with $c_i=0, i\leq n.$